Difference between revisions of "Quantities in the Decimal System"

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=== Materials  ===
 
=== Materials  ===
  
*Loose gold beads representing units
+
*Loose gold beads (representing units)
 
*Gold bead bars of ten beads each  
 
*Gold bead bars of ten beads each  
 
*10 gold bead squares of ten bars (representing 100)  
 
*10 gold bead squares of ten bars (representing 100)  
*One gold bead cube of hundred- squares (representing 1,000)  
+
*One gold bead cube of hundred squares (representing 1,000)  
 
*Large tray with a dish or smaller tray, used for transferring the quantities<br>
 
*Large tray with a dish or smaller tray, used for transferring the quantities<br>
  
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=== Presentation  ===
 
=== Presentation  ===
  
#As a unit bead, and then a ten bar is placed on the table, the child is asked to identify the quantities. One hundred and one thousand are presented also.
+
#A unit bead, and then a ten bar is placed on the table, the child is asked to identify the quantities.  
#The directress gives a three period lesson naming the quantities: unit, ten, hundred, and thousand.
+
#One hundred and one thousand are presented in the same manner.  
#The child is then invited to examine the materials and their composition.
+
#The directress gives a three period lesson naming the quantities: unit, ten, hundred, and thousand.  
#The child may count the ten beads on the ten-bar again.  
+
#The child is then invited to examine the materials and their composition.  
#"The hundred is made up of ten ten bars". The ten-bar is placed on top of the square as the child counts.
+
#The child may count the ten beads on the ten bar again.  
#"The thousand is made up of 10 hundreds". The hundred-square is placed next to each section of the cube as the child counts.  
+
#"The hundred is made up of ten ten bars".  
 +
#The ten-bar is placed on top of the square as the child counts.  
 +
#"The thousand is made up of 10 hundreds".  
 +
#The hundred-square is placed next to each section of the cube as the child counts.  
 
#The directress gives the three period lesson defining the composition of the quantities.<br>
 
#The directress gives the three period lesson defining the composition of the quantities.<br>
  
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=== Purpose  ===
 
=== Purpose  ===
  
#To develop the concept of the hierarchical orders of the decimal system: units, tens, hundreds, thousands.
+
#To develop the concept of the hierarchical orders of the decimal system: units, tens, hundreds, thousands.  
#To give the child the relative measurement of the quantities: bead, bar, square, cube.
+
#To give the child the relative measurement of the quantities: bead, bar, square, cube.  
 
#To prepare the child for geometry concepts: point, line, surface and solid.
 
#To prepare the child for geometry concepts: point, line, surface and solid.
  
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=== Variation  ===
 
=== Variation  ===
  
#Small Group exercise. The golden bead materials, now including the wooden hundred-squares and thousand-cubes are arranged at random on a rug (in a basket).
+
#This can be a small group exercise. The golden bead materials, now including the wooden hundred-squares and thousand-cubes are arranged at random on a rug.  
#Each child takes a tray.
+
#Each child takes a tray.  
#The directress asks the child to bring a quantity. 'Bring me 3 hundreds' As each child returns with the quantity, the child identifies it, and the directress and child count it together.  
+
#The directress asks the child to bring a quantity. 'Bring me&nbsp;4 hundreds' As each child returns with the quantity, the child identifies it, and the directress and child count it together.  
 
#At first the child is asked to bring only one hierarchy at a time. Later he will bring all four at once.<br>
 
#At first the child is asked to bring only one hierarchy at a time. Later he will bring all four at once.<br>
  

Latest revision as of 04:37, 15 October 2009

Age

3-6

Materials

  • Loose gold beads (representing units)
  • Gold bead bars of ten beads each
  • 10 gold bead squares of ten bars (representing 100)
  • One gold bead cube of hundred squares (representing 1,000)
  • Large tray with a dish or smaller tray, used for transferring the quantities

Preparation

This is an individual presentation.

Presentation

  1. A unit bead, and then a ten bar is placed on the table, the child is asked to identify the quantities.
  2. One hundred and one thousand are presented in the same manner.
  3. The directress gives a three period lesson naming the quantities: unit, ten, hundred, and thousand.
  4. The child is then invited to examine the materials and their composition.
  5. The child may count the ten beads on the ten bar again.
  6. "The hundred is made up of ten ten bars".
  7. The ten-bar is placed on top of the square as the child counts.
  8. "The thousand is made up of 10 hundreds".
  9. The hundred-square is placed next to each section of the cube as the child counts.
  10. The directress gives the three period lesson defining the composition of the quantities.

Control Of Error


Points Of Interest


Purpose

  1. To develop the concept of the hierarchical orders of the decimal system: units, tens, hundreds, thousands.
  2. To give the child the relative measurement of the quantities: bead, bar, square, cube.
  3. To prepare the child for geometry concepts: point, line, surface and solid.


Variation

  1. This can be a small group exercise. The golden bead materials, now including the wooden hundred-squares and thousand-cubes are arranged at random on a rug.
  2. Each child takes a tray.
  3. The directress asks the child to bring a quantity. 'Bring me 4 hundreds' As each child returns with the quantity, the child identifies it, and the directress and child count it together.
  4. At first the child is asked to bring only one hierarchy at a time. Later he will bring all four at once.

Links


Handouts/Attachments